| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C3×A4) = C9×SL2(𝔽3) | central extension (φ=1) | 72 | 2 | C6.1(C3xA4) | 216,38 |
| C6.2(C3×A4) = C3×Q8⋊C9 | central extension (φ=1) | 216 | | C6.2(C3xA4) | 216,40 |
| C6.3(C3×A4) = A4×C18 | central extension (φ=1) | 54 | 3 | C6.3(C3xA4) | 216,103 |
| C6.4(C3×A4) = C2×C9⋊A4 | central extension (φ=1) | 54 | 3 | C6.4(C3xA4) | 216,104 |
| C6.5(C3×A4) = C6×C3.A4 | central extension (φ=1) | 54 | | C6.5(C3xA4) | 216,105 |
| C6.6(C3×A4) = C2×C32.A4 | central extension (φ=1) | 18 | 3 | C6.6(C3xA4) | 216,106 |
| C6.7(C3×A4) = C2×C32⋊A4 | central extension (φ=1) | 18 | 3 | C6.7(C3xA4) | 216,107 |
| C6.8(C3×A4) = C32×SL2(𝔽3) | central extension (φ=1) | 72 | | C6.8(C3xA4) | 216,134 |
| C6.9(C3×A4) = C18.A4 | central stem extension (φ=1) | 72 | 6 | C6.9(C3xA4) | 216,39 |
| C6.10(C3×A4) = Q8⋊3- 1+2 | central stem extension (φ=1) | 72 | 6 | C6.10(C3xA4) | 216,41 |
| C6.11(C3×A4) = Q8⋊He3 | central stem extension (φ=1) | 72 | 6 | C6.11(C3xA4) | 216,42 |